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335117035168 = 25611543111263
BaseRepresentation
bin1001110000001101000…
…10000010011010100000
31012000222212211020202021
410320012202002122200
520442304430111133
6413541201031224
733132340541146
oct4700642023240
91160885736667
10335117035168
1111a138914613
1254b46025514
13257a837bb66
1412310dd5596
158ab565b52d
hex4e068826a0

335117035168 has 48 divisors (see below), whose sum is σ = 671018052096. Its totient is φ = 164703363840.

The previous prime is 335117035159. The next prime is 335117035193. The reversal of 335117035168 is 861530711533.

It is a super-2 number, since 2×3351170351682 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2956305 + ... + 3067567.

It is an arithmetic number, because the mean of its divisors is an integer number (13979542752).

Almost surely, 2335117035168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 335117035168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335509026048).

335117035168 is an abundant number, since it is smaller than the sum of its proper divisors (335901016928).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

335117035168 is a wasteful number, since it uses less digits than its factorization.

335117035168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112877 (or 112869 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 43.

The spelling of 335117035168 in words is "three hundred thirty-five billion, one hundred seventeen million, thirty-five thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 16 32 61 122 244 488 976 1543 1952 3086 6172 12344 24688 49376 94123 111263 188246 222526 376492 445052 752984 890104 1505968 1780208 3011936 3560416 6787043 13574086 27148172 54296344 108592688 171678809 217185376 343357618 686715236 1373430472 2746860944 5493721888 10472407349 20944814698 41889629396 83779258792 167558517584 335117035168